This award-winning monograph addresses perturbation methods in critical point theory. It particularly emphasizes applications such as semilinear elliptic problems on R n , bifurcation from the essential spectrum, the prescribed scalar curvature problem, nonlinear Schrödinger equations, and singularly perturbed elliptic problems in domains. Its discussion of the abstract tool of perturbation methods in critical point theory is not available elsewhere. The book was awarded the Ferran Sunyer i Balaguer Prize 2005.

Winner of the Ferran Sunyer i Balaguer Prize 2005 Discussion of the abstract tool of perturbation methods in critical point theory in a form not contained in any other book Treatment of various applications often considered different in nature Includes supplementary material: sn.pub/extras

Autorentext

Prof. Shair Ahmad is a professor of Mathematics at the University of Texas, San Antonio. Prof. Antonio Ambrosetti is full professor of Mathematical Analysis at SISSA, Trieste, Italy.

Inhalt
Examples and Motivations.- Pertubation in Critical Point Theory.- Bifurcation from the Essential Spectrum.- Elliptic Problems on ?n with Subcritical Growth.- Elliptic Problems with Critical Exponent.- The Yamabe Problem.- Other Problems in Conformal Geometry.- Nonlinear Schrödinger Equations.- Singularly Perturbed Neumann Problems.- Concentration at Spheres for Radial Problems.